Final answer:
The area of a circle is 22 cm². Using the formula, A = πr² and rearranging for the radius, we find that the radius is approximately 2.64 cm, which rounds to the nearest whole number 3 cm. Therefore, the correct answer is c) 3 cm.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius. If the area of the circle is 22 cm², we can solve for the radius by rearranging the formula:
r² = A/π
Then take the square root of both sides to find the radius:
r = √(A/π)
We can plug in the given area (A = 22 cm²) and the approximate value for π (3.1415927), and calculate the radius.
r = √(22/3.1415927)
After calculating the value, we find that the radius is approximately 2.64 cm, which we round to the nearest whole number, and the closest whole number to 2.64 is 3, so the radius is approximately 3 cm.
So, the correct answer is c) 3 cm.